{"id":"vidhyamitra:city-day:rishikesh:2040-12-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2040-12-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-12-14","date_display":"December 14, 2040 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2040,"month":12,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466502.770833,"kali_year":5142,"ahargana":1878037.2708,"sun":{"sidereal_longitude":237.7377,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":4.7086,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":126.9709,"elapsed_within_tithi_degrees":6.9709},"nakshatra":{"number":1,"name":"Aśvinī","pada":2,"moon_longitude":4.7086,"elapsed_within_degrees":4.7086},"yoga":{"number":19,"name":"Parigha","sum_longitude":242.4463},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2040,"month":12,"day":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466502.770833,"ahargana":1878037.2708,"kali_year":5142,"ayanamsa_lahiri":24.4251,"grahas":{"sun":{"sidereal_longitude":238.22961399999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":6.388614000000018,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false,"latitude":-2.0998},"mars":{"sidereal_longitude":238.62861399999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":237.415614,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":181.30071399999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":283.503414,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":177.15831400000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":32.5476,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":212.5476,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2040,"month":12,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466502.770833,"kali_year":5142,"ahargana":1878037.2708,"sun":{"sidereal_longitude":237.7377,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":4.7086,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":126.9709,"elapsed_within_tithi_degrees":6.9709},"nakshatra":{"number":1,"name":"Aśvinī","pada":2,"moon_longitude":4.7086,"elapsed_within_degrees":4.7086},"yoga":{"number":19,"name":"Parigha","sum_longitude":242.4463},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.1,"elongation":126.971},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.1,"opposition_distance":53.029}},"eclipse_window_40days":[]},"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"07:06","sunsetLocal":"17:19","solarNoonLocal":"12:12","dayLengthHours":10.223691937353173,"dayLengthDisplay":"10 Hours 13 Mins 25 Secs","nightLengthDisplay":"13 Hours 46 Mins 35 Secs","moonriseLocal":"14:14","moonsetLocal":"03:15","rahuKala":{"name":"Rāhu Kāla","start":"10:56","end":"12:12","startHours":10.926932011596998,"endHours":12.204893503766144,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:46","end":"16:02","startHours":14.760816488104439,"endHours":16.038777980273583,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:22","end":"09:39","startHours":8.371009027258705,"endHours":9.648970519427852,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:29","end":"09:49","startHours":9.478575653805297,"endHours":9.819365385050403,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:31","end":"07:47","startHours":7.51903469914594,"endHours":7.7916664841420245,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:33","startHours":11.864103772521037,"endHours":12.54568323501125,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:44","end":"06:25","startHours":5.729888610109135,"endHours":6.411468072599346,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:14","end":"07:06","startHours":6.241073206976793,"endHours":7.093047535089558,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:55","end":"14:35","startHours":13.908842159991673,"endHours":14.590421622481884,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:07","end":"17:31","startHours":17.11673947244273,"endHours":17.51673947244273,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:19","end":"17:45","startHours":17.31673947244273,"endHours":17.742726636499114,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:04","end":"18:49","startHours":17.06673947244273,"endHours":18.81673947244273,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:33","startHours":23.864103772521037,"endHours":24.54568323501125,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:06","end":"08:22","startHours":7.093047535089558,"endHours":8.371009027258705,"quality":"neutral"},{"name":"Labha","start":"08:22","end":"09:39","startHours":8.371009027258705,"endHours":9.648970519427852,"quality":"auspicious"},{"name":"Amṛta","start":"09:39","end":"10:56","startHours":9.648970519427852,"endHours":10.926932011596998,"quality":"auspicious"},{"name":"Kāla","start":"10:56","end":"12:12","startHours":10.926932011596998,"endHours":12.204893503766144,"quality":"inauspicious"},{"name":"Śubha","start":"12:12","end":"13:29","startHours":12.204893503766144,"endHours":13.482854995935291,"quality":"auspicious"},{"name":"Roga","start":"13:29","end":"14:46","startHours":13.482854995935291,"endHours":14.760816488104439,"quality":"inauspicious"},{"name":"Udveg","start":"14:46","end":"16:02","startHours":14.760816488104439,"endHours":16.038777980273583,"quality":"inauspicious"},{"name":"Chala","start":"16:02","end":"17:19","startHours":16.038777980273583,"endHours":17.31673947244273,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:19","end":"19:02","startHours":17.31673947244273,"endHours":19.038777980273583,"quality":"inauspicious"},{"name":"Udveg","start":"19:02","end":"20:46","startHours":19.038777980273583,"endHours":20.76081648810444,"quality":"inauspicious"},{"name":"Chala","start":"20:46","end":"22:29","startHours":20.76081648810444,"endHours":22.48285499593529,"quality":"neutral"},{"name":"Labha","start":"22:29","end":"00:12","startHours":22.48285499593529,"endHours":24.204893503766144,"quality":"auspicious"},{"name":"Amṛta","start":"00:12","end":"01:56","startHours":24.204893503766144,"endHours":25.926932011596996,"quality":"auspicious"},{"name":"Kāla","start":"01:56","end":"03:39","startHours":25.926932011596996,"endHours":27.64897051942785,"quality":"inauspicious"},{"name":"Śubha","start":"03:39","end":"05:22","startHours":27.64897051942785,"endHours":29.371009027258705,"quality":"auspicious"},{"name":"Roga","start":"05:22","end":"07:06","startHours":29.371009027258705,"endHours":31.093047535089557,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:06","end":"08:06","startHours":7.093047535089558,"endHours":8.093047535089557,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:06","end":"09:06","startHours":8.093047535089557,"endHours":9.093047535089557,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:06","end":"10:06","startHours":9.093047535089557,"endHours":10.093047535089557,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:06","end":"11:06","startHours":10.093047535089557,"endHours":11.093047535089557,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:06","end":"12:06","startHours":11.093047535089557,"endHours":12.093047535089557,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:06","end":"13:06","startHours":12.093047535089557,"endHours":13.093047535089557,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:06","end":"14:06","startHours":13.093047535089557,"endHours":14.093047535089557,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:06","end":"15:06","startHours":14.093047535089557,"endHours":15.093047535089557,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:06","end":"16:06","startHours":15.093047535089557,"endHours":16.093047535089557,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:06","end":"17:06","startHours":16.093047535089557,"endHours":17.093047535089557,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:06","end":"18:06","startHours":17.093047535089557,"endHours":18.093047535089557,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:06","end":"19:06","startHours":18.093047535089557,"endHours":19.093047535089557,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:06","end":"20:06","startHours":19.093047535089557,"endHours":20.093047535089557,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:06","end":"21:06","startHours":20.093047535089557,"endHours":21.093047535089557,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:06","end":"22:06","startHours":21.093047535089557,"endHours":22.093047535089557,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:06","end":"23:06","startHours":22.093047535089557,"endHours":23.093047535089557,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:06","end":"00:06","startHours":23.093047535089557,"endHours":24.093047535089557,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:06","end":"01:06","startHours":24.093047535089557,"endHours":25.093047535089557,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:06","end":"02:06","startHours":25.093047535089557,"endHours":26.093047535089557,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:06","end":"03:06","startHours":26.093047535089557,"endHours":27.093047535089557,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:06","end":"04:06","startHours":27.093047535089557,"endHours":28.093047535089557,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:06","end":"05:06","startHours":28.093047535089557,"endHours":29.093047535089557,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:06","end":"06:06","startHours":29.093047535089557,"endHours":30.093047535089557,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:06","end":"07:06","startHours":30.093047535089557,"endHours":31.093047535089557,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.232833019791176,"eotMinutes":4.63598977403141,"ayanamsa":24.4251}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Ekādaśī · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"festivals":[{"id":"gita-jayanti","name":"Gītā Jayantī (= Mokṣadā Ekādaśī)","name_sanskrit":"गीता जयन्ती","tradition":"Vaishnava","associated_deity":"Krishna (Bhagavad-Gītā speaker)","significance":"Day Bhagavad Gītā was delivered at Kurukṣetra (Mahābhārata Day 1).","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":1,"related_chart":"krishna","historical_anchor":{"event":"Bhagavad Gītā delivered at Kurukṣetra (Mahābhārata Day 1)","date_julian":"-3137-10-04","location":"Kurukṣetra"},"sources":["Bhagavad Gītā (Mahābhārata, Bhīṣma Parva)"]},{"id":"vaikuntha-ekadashi","name":"Vaikuṇṭha Ekādaśī","name_sanskrit":"वैकुण्ठ एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Most sacred Ekādaśī of the year; 'Vaikuṇṭha-dvāram udghaṭitam'.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":2},{"id":"mokshada-ekadashi","name":"Mokṣadā Ekādaśī (Gītā Jayantī)","name_sanskrit":"मोक्षदा एकादशी / गीता जयन्ती","tradition":"Vaishnava","associated_deity":"Krishna (Bhagavad Gītā delivery)","significance":"Day Bhagavad Gītā was delivered at Kurukṣetra.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":3},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"rishikesh"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 14, 2040 CE · Ṛṣikeśa · Vidhyamitra","description":"December 14, 2040 CE for Ṛṣikeśa: Śukla Ekādaśī, sūryodaya 07:06, sūryāsta 17:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2040-12-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2040-12-14","sa":"https://sa.vidhyamitra.com/city/rishikesh/2040-12-14","hi":"https://hi.vidhyamitra.com/city/rishikesh/2040-12-14","x-default":"https://vidhyamitra.com/city/rishikesh/2040-12-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T22:50:19.228Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-31T22:50:19.228Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T22:50:19.228Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}